Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. what is the solution to the system?

a. (3, 2)
b. no solutions
c. (9, 2)
d. infinite solutions

Option: D is the correct answer.

D) Infinite solutions.

Step-by-step explanation:

We are given a system of equations as:

                y=3x+2--------(1)

and,           3y=9x+6----------(2)

on dividing both side of the equation (2) we obtain:

y=3x+2

Clearly we could observe that both the equations are same.

Hence, we will get a straight line passing through (-2/3,0) and (0,2) as a solution  ( i.e. y=3x+2)

Hence, there are infinite points on the line which are solution to the system.

Hence, option: D  is the correct answer.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: